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Linear Programming
Use the information below to answer questions 1 and 2.
You may also use the graph provided if it helps:
1. Use linear programming methods to find the maximum
2. Use linear programming methods to find the minimum
Lagrange Multipliers
For questions 3-6, use the Lagrange Multiplier method for optimization to find the maximum of the function : f(x) = y2 - 4x subject to x2 + y2 = 9
3. Write the Lagrange function, L (x, y, λ).4. Find the system of equations to solve the optimization problem.
5. Find all critical points.
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